Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$x-3= { x }^{ 2 }$$

Answer

x=-(-1+sqrt(11)*IM)/2,-(-1-sqrt(11)*IM)/2

Solution


Move all terms to one side.
\[x-3-{x}^{2}=0\]
Use the Quadratic Formula.
\[x=\frac{-1+\sqrt{11}\imath }{-2},\frac{-1-\sqrt{11}\imath }{-2}\]
Simplify solutions.
\[x=-\frac{-1+\sqrt{11}\imath }{2},-\frac{-1-\sqrt{11}\imath }{2}\]
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